Treffer: Algorithmic and complexity results for decompositions of biological networks into monotone subsystems
Mathematical Biosciences Institute, 250 Mathematics Building, 231 W 18th Ave, Columbus, OH 43210, United States
Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, United States
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Weitere Informationen
A useful approach to the mathematical analysis of large-scale biological networks is based upon their decompositions into monotone dynamical systems. This paper deals with two computational problems associated to finding decompositions which are optimal in an appropriate sense. In graph-theoretic language, the problems can be recast in terms of maximal sign-consistent subgraphs. The theoretical results include polynomial-time approximation algorithms as well as constant-ratio in-approximability results. One of the algorithms, which has a worst-case guarantee of 87.9% from optimality, is based on the semidefinite programming relaxation approach of Goemans-Williamson [14]. The algorithm was implemented and tested on a Drosophila segmentation network [7] and an Epidermal Growth Factor Receptor pathway model [25], and it was found to perform close to optimally.